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Finding the Fourth Proportional to 24,672.75, 37,009.44 and 7,142.60

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Solution

The fourth proportional to 24,672.75, 37,009.44 and 7,142.60 is: 10,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.75 : 37,009.44 = 7,142.60 : x
  2. Step 2: Convert to fraction form
    24,672.75/37,009.44 = 7,142.60/x
  3. Step 3: Cross multiply
    24,672.75x = 37,009.44 × 7,142.60
  4. Step 4: Simplify right side
    24,672.75x = 264,343,441.10
  5. Step 5: Solve for x
    x = 264,343,441.10/24,672.75
  6. Step 6: Final answer
    x = 10,713.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.